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Any web resources regarding changing the variable of integration from cartesian to polar coordinates that goes beyond the basic :
x = r cos theta
y = r sin theta
r = sq rt (x^2 + y^2)I totally don't get how to find the limits of integration using polar coordinates and my undergrad textbooks appears to assume we already know it.
E.g. r = 2 sin 2 theta , first quadrant. How do we find the limits of integration for r?
Totally clueless. Tried googling but keep getting just the 3 definitions above. What is the general technique or algorithm?
x = r cos theta
y = r sin theta
r = sq rt (x^2 + y^2)I totally don't get how to find the limits of integration using polar coordinates and my undergrad textbooks appears to assume we already know it.
E.g. r = 2 sin 2 theta , first quadrant. How do we find the limits of integration for r?
Totally clueless. Tried googling but keep getting just the 3 definitions above. What is the general technique or algorithm?
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